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Finding the Third Proportional to 221,812 and 476,836

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Solution

The third proportional to 221,812 and 476,836 is: 1,025,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,812 : 476,836 = 476,836 : x
  2. Step 2: Convert to fraction form
    221,812/476,836 = 476,836/x
  3. Step 3: Cross multiply
    221,812x = 476,836 × 476,836
  4. Step 4: Simplify right side
    221,812x = 227,372,570,896
  5. Step 5: Solve for x
    x = 227,372,570,896/221,812
  6. Step 6: Final answer
    x = 1,025,068.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.